Solid-state energy states

The complicated problems concerning the energy states in solids of a luminescence centre are commonly visualized by adapting the energy-level diagram used in describing energy transitions in an isolated diatomic molecule (Figure 1).

In this diagram, the potential energy of a centre is plotted as a function of the average distance (x̄) between the atoms: x̄* represents the ground state and x̄o represents the lowest excited state of the centre. In a tetrahedral permanganate-ion centre (MnO4), for example x̄ would be the average distance between the central manganese ion and an oxygen ion in any of the corners of the tetrahedron.

At a temperature of absolute zero the ground-state energy level is near the bottom of curve I at the minimum amplitude of atomic vibration. At room temperature (300 K [81° F]) the ground state lies higher, at a, where the centre has considerable vibrational energy. When an electron of the centre is excited, it is lifted to the higher energy level at b in curve II. This electronic transition occurs far more rapidly than the readjustment of the atoms of the centre, which then occurs within a time of about 10−12 second to reach the minimum vibrational level at c. The energy difference (b − c) is dissipated as heat in the host-crystal lattice. From the excited-state level c, the electron can return to the ground-state level d shown in Curve I, the liberated energy being emitted as a photon.

The last step is a readjustment of the centre to a, the energy difference (d − a) again being dissipated as heat. Nonradiative transition of the excited electron back to its ground state occurs when the electron is excited to an energy level above the intersection point f of the ground-state and the excited-state energy curve. This is caused mainly by increasing the vibrations of the lattice by application of higher temperatures. The energy difference (f − c) is equal to the activation energy already mentioned, and therefore most centres become increasingly nonradiative at higher temperatures. In trap-type phosphors the temperature must be sufficiently high, of course, to eject the electron from the traps.

In some phosphors—calcium tungstate (CaWO4), for example—absorption and emission of the exciting energy appear to take place mainly in the same centre; the excited electron remains near the centre. Such phosphors do not exhibit photoconductivity because only a few excited electrons succeed in reaching the conduction band where they are freely mobile. The luminescence decay is exponential.

Zinc sulfide phosphors, however, are photoconducting, which means that many excited electrons are lifted to the conduction band of the host crystal. The energy levels of different centres and of the host-crystal lattice have to be taken into account simultaneously.

The relative levels of the zinc sulfide valence band (ground state of the host-crystal lattice) and the conduction band (excited state of the host-crystal lattice), of activator levels and of trap levels are shown in Figure 2. Points 1, 2, 3, and 4 represent one situation in a host crystal, and points 5, 6, 7, 8, 9, and 10 represent another situation.

The activator ions introduce additional ground-state levels and excited-state levels of energies between those of the valence and the conduction band of the zinc sulfide. When the excitation energy is sufficiently high, an electron is raised to the conduction band (1 → 2, 5 → 6, corresponding to the ionization continuum in a gas). It moves away from the centre (2 → 3, 6 → 8) and may either be trapped by an imperfection of the lattice (8) or return to an ionized centre (activator), in which it first occupies an excited level (3 → 4) and then drops to the ground state of the activator centre by emitting a photon. An activator centre that captures such an excited electron has already lost one of its own electrons to a positive hole (electron vacancy) in the host-crystal lattice.

The energetic level of the traps is about 0.25 electron volt beneath the conduction-band level. A trapped electron (8) must be raised to the conduction band by thermal energy before a recombination with an ionized activator centre can occur. The green emission (530 nanometres) of the zinc sulfide phosphor (ZnS/Cu) is explained by the recombination of an electron from the conduction band and a copper ion in an activator centre (7 → 9); the blue emission (463 nanometres) is due to recombination of the excited electron and a copper ion in an interstitial place.

Direct excitation of the activator centres is also possible. When an electron recombines with a killer ion (10), no visible emission occurs.

In solid-state electroluminescence, the radiative processes occurring in a phosphor under irradiation are produced by applying external electric fields of several hundred volts, alternating at several thousand cycles per second. Special preparations of zinc sulfide (hexagonal ZnS), with an iodine coactivator and high concentrations of a copper activator, are embedded in a thin layer of about 0.01 centimetre (0.004 inch) of insulating organic material or glass, which is mounted between the electrodes.

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